General Relativity and Gravitation

, Volume 22, Issue 7, pp 721–734 | Cite as

Conformally equivalent metrics in bimetric general relativity

  • Ilija Lukačević
Research Articles


Space-times conformal to physical space-time are considered, assuming the nongravitational energy is conservative after the conformal transformation. Necessary and sufficient conditions satisfied by the conformal factor axe found for a given type of transformation of the energy tensor. The weak gravitational field is defined and the coordinate conditions for the existence of conformal factors in such a field are obtained.


General Relativity Differential Geometry Gravitational Field Conformal Transformation Conformal Factor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Rosen, N. (1980).Gen. Rel. Grav.,12, 493.Google Scholar
  2. 2.
    Rosen, N. (1980).Foundations of Physics,10, 693.Google Scholar
  3. 3.
    Harpaz, A., and Rosen, N. (1985).Astrophys. J.,291, 417.Google Scholar
  4. 4.
    Lukačević, I. (1986).Gen. Rel. Grav.,18, 923.Google Scholar
  5. 5.
    Lukačević, I. (1987).Gen. Rel. Grav.,19, 907.Google Scholar
  6. 6.
    Kerrighan, D. B. (1985).Foundations of Physics,15, 379.Google Scholar
  7. 7.
    Synge, J. (1960).Relativity: The General Theory, (North Holland, Amsterdam).Google Scholar
  8. 8.
    Papapetrou, A. (1974).Lectures on General Relativity, (D. Reidel, Dorderecht, Holland).Google Scholar
  9. 9.
    Vladimirov, Yu. S. (1982).Reference Systems in the Theory of Gravitation, (Energoizdat, Moscow; in Russian).Google Scholar

Copyright information

© Plenum Publishing Corporation 1990

Authors and Affiliations

  • Ilija Lukačević
    • 1
  1. 1.Faculty of MathematicsUniversity of BelgradeBeogradYugoslavia

Personalised recommendations